I wish that you were correct DY, because what you state is how it ideally SHOULD be. But in practical terms, it absolutely is NOT, unfortunately. Ask yourself how many Yeshivish families would agree to a shidduch with a boy who wears a crocheted kippah (even if he also wore a hat, and if he DIDN’T wear a hat, then it is not even in the ball park).
I used to be very idealistic and imagine the world the way I wanted to see it be. But sadly, there is so much emphasis placed on levush (and the kippah serugah is part of that levush definition), that many people do NOT act ideally with each other in a mutually respectful way. I sincerely wish that it WERE as you believe it to be.